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Finding the Fourth Proportional to 687.74, 1,030.91 and 605.73

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Solution

The fourth proportional to 687.74, 1,030.91 and 605.73 is: 907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.74 : 1,030.91 = 605.73 : x
  2. Step 2: Convert to fraction form
    687.74/1,030.91 = 605.73/x
  3. Step 3: Cross multiply
    687.74x = 1,030.91 × 605.73
  4. Step 4: Simplify right side
    687.74x = 624,450.09
  5. Step 5: Solve for x
    x = 624,450.09/687.74
  6. Step 6: Final answer
    x = 907.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.